Some structure theorems on locally convex cones of linear operators

Abstract

In this paper we investigate the structure of C(P,Q) (the cone of all continuous linear operators from locally convex cone (P,U) into locally convex cone (Q,W), when (P,U) or (Q,W) are inductive or projective limit locally convex cones. We consider some special convex quasiuniform structures on C(P,Q), and prove some structure theorems